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Finding the Third Proportional to 168,638.63 and 359,125.31

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Solution

The third proportional to 168,638.63 and 359,125.31 is: 764,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,638.63 : 359,125.31 = 359,125.31 : x
  2. Step 2: Convert to fraction form
    168,638.63/359,125.31 = 359,125.31/x
  3. Step 3: Cross multiply
    168,638.63x = 359,125.31 × 359,125.31
  4. Step 4: Simplify right side
    168,638.63x = 128,970,990,078.22
  5. Step 5: Solve for x
    x = 128,970,990,078.22/168,638.63
  6. Step 6: Final answer
    x = 764,777.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.